Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing

Series Resistor-Inductor-Diode (RLD) circuits are known to exhibit rich nonlinear dynamical behaviour that opens up intriguing opportunities for design of novel computational systems. In this paper, we suggest and theoretically validate a technically simple RLD circuit that implements a reservoir co...

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Bibliographic Details
Main Authors: A. H. Abbas, Hend Abdel-Ghani, Ivan S. Maksymov
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10840230/
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Summary:Series Resistor-Inductor-Diode (RLD) circuits are known to exhibit rich nonlinear dynamical behaviour that opens up intriguing opportunities for design of novel computational systems. In this paper, we suggest and theoretically validate a technically simple RLD circuit that implements a reservoir computing (RC) architecture optimized to predict the future evolution of highly nonlinear and chaotic time series. We demonstrate that the exploitation of the proposed RLD circuit in a periodic operating regime with a particular tuning on an edge-of-chaos mode enables the RLD-based reservoir computer to achieve high prediction accuracy, quantified as a normalized mean square error (NMSE) of approximately <inline-formula> <tex-math notation="LaTeX">$10^{-4}$ </tex-math></inline-formula>. We also evaluate the performance of RLD-RC tuned to operate in a chaotic regime under forced initial conditions, revealing the ability of the so-designed computer to accurately forecast complex time series and highlighting the potential of RLD circuits to serve as a backbone of efficient and versatile hardware RC systems.
ISSN:2169-3536